1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Readme [11.4K]
3 years ago
10

You work at Dave's Donut Shop. Dave has asked you to determine how much each box of a dozen donuts should cost. There are 12 don

uts in one dozen. You determine that it costs $0.32 to make each donut. Each box costs $0.18 per square foot of cardboard. There are 144 square inches in 1 square foot.
Whats an expression to model the number of donuts in b boxes?
Mathematics
1 answer:
slava [35]3 years ago
8 0
A box of donuts would cost: b = 3.84 + 0.18f

First, we have to find the total cost of the donuts. 
12 x 0.32 = 3.84

Next, we need to determine the cost of the box. However, we don't know the surface area, just the cost per foot. We can multiply the number of square feet of the box by $0.18 to find the cost.

So our equation could be:  b = 3.84 + 0.18f (where f is the surface area of the box in square feet)
You might be interested in
Line d has a slope of 3/2. Line e has a slope of -2/3. Are line d and line e parallel or
Ksivusya [100]

Answer:

We can determine from their equations whether two lines are parallel by comparing their slopes. If the slopes are the same and the y-intercepts are different, the lines are parallel. If the slopes are different, the lines are not parallel. Unlike parallel lines, perpendicular lines do intersect

6 0
2 years ago
Does somebody know how to find area of a trapizoid???
motikmotik

Answer:

To find the area of a trapezoid, multiply the sum of the bases (the parallel sides) by the height (the perpendicular distance between the bases), and then divide by 2.

Step-by-step explanation:

:) Hope this helps you with what you're working on!

5 0
2 years ago
Read 2 more answers
Hiii pple can yall help me out here plz
levacccp [35]

Answer:

the answer is Monomial I hope this helps

6 0
2 years ago
Read 2 more answers
A rectangle box with a square base and no top needs to be made using 300ft^2 of material. Find the dimensions of the box with th
Yuri [45]

The dimensions of the box are 10 ft and 5 ft

The maximum volume is 500 ft³

Step-by-step explanation:

A rectangle box with

  • A square base and no top
  • It needs to be made using 300 ft² of material
  • It has greatest volume

Surface area of a box without top (SA) = perimeter of base × height + area of the base

Volume of a box (V) = base area × height

Assume that the length of the side of the square base is x and the height of the box is y

∵ It needs to be made using 300 ft² of material

∴ The surface area of the box is 300 ft²

∵ Its base is a square of side length x ft

∴ Perimeter of the base = 4 × x = 4 x

∴ Area of the base = x²

∵ The height of the box = y ft

∵ SA = perimeter of base × height + area of the base

∵ SA = (4x)(y) + x²

∴ SA = 4xy + x²

∵ SA of the box = 300 ft²

- Equate the two expressions of SA

∴ 4xy + x² = 300

Now let us find y in terms of x

- Subtract x² from both sides

∴ 4xy = 300 - x²

- Divide each term by 4x to find y

∴ y=\frac{75}{x}-\frac{1}{4}x

∵ V = area of the base × height

∴ V = x² × y = x²y

- Substitute y by the equation of it above

∴ V=x^{2}(\frac{75}{x}-\frac{1}{4}x)

∴ V=75x-\frac{1}{4}x^{3}

∵ The volume of the box is greatest

- That means differentiate V and equate it by 0

∵ \frac{dV}{dx}=75-\frac{3}{4}x^{2}

∵ \frac{dV}{dx}=0 ⇒ greatest volume

∴ 75-\frac{3}{4}x^{2}=0

- Subtract 75 from both sides

∴ -\frac{3}{4}x^{2}=-75

- Divide both sides by -\frac{3}{4}

∴ x² = 100

- Take √ for both sides

∴ x = 10

Substitute the value of x in the equation of y

∵ y=\frac{75}{10}-\frac{1}{4}(10)

∴ y = 5

The dimensions of the box are 10 ft and 5 ft

∵ V=75x-\frac{1}{4}x^{3}

∵ x = 10

∴ V=75(10)-\frac{1}{4}(10)^{3}

∴ V=750-\frac{1}{4}(1000)

∴ V = 750 - 250

∴ V = 500 ft³

The maximum volume is 500 ft³

Learn more:

You can learn more about the volume in brainly.com/question/6443737

#LearnwithBrainly

6 0
3 years ago
Find the value of x.
nikklg [1K]

Answer:

x = 13

Step-by-step explanation:

Sum or interior angles of a triangle is 180,

6x + 19 + 5x - 15 + 3x - 6 = 180

6x + 5x + 3x + 19 - 15 - 6 = 180

14x + 19 - 21 = 180

14x - 2 = 180

14x = 180 + 2

14x = 182

x = 182 / 14

x = 13

5 0
2 years ago
Other questions:
  • Find the value of Sin^-1(tan (pi/4)) a.0 b.pi c.2 d.pi/2
    5·2 answers
  • What is 935 38/92 rounded to the nearest ten?
    5·1 answer
  • Suppose you save $100 a month. How many months would it take you to save $ 1 million
    9·2 answers
  • Solve for x.<br> Enter your answer in the box<br> X=
    8·1 answer
  • Carrie needs to determine the number of tiles that will fit in each row along the back of the shower. If the back of the shower
    5·1 answer
  • Which of the following best describes the slope of the line below?
    10·2 answers
  • On a​ map, 1 inch equals 15 miles. Two cities are 2 inches apart on the map. What is the actual distance between the​ cities?
    15·1 answer
  • 6 pizzas cost $16 What will 4 pizzas cost
    13·2 answers
  • What is the error in the problem below
    12·1 answer
  • Solve: -12=24+6y y=2 y=-2
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!